We included **HMH Into Math Grade 5 Answer Key PDF** **Module 13 Lesson 1 Understand Thousandths **to make students experts in learning maths.

## HMH Into Math Grade 5 Module 13 Lesson 1 Answer Key Understand Thousandths

I Can describe the relationship between two decimal place-value positions to the thousandth place.

**Spark Your Learning**

Kiana is looking at seawater under a microscope to search for microscopic organisms. A droplet of seawater has a mass of about 51.3 milligrams.

What would be the mass of 10 droplets of seawater? Show your reasoning.

Answer:

Given that,

The mass of the droplet of seawater is 51.3 milligrams.

The mass of 10 droplets of seawater is 51.3 x 10 is 513 milligrams.

**Turn and Talk** Kiana puts 10 droplets of freshwater in a test tube. The droplets have a mass of about 499.0 milligrams. What would you expect the mass of one droplet of freshwater to be? How do you know?

Answer:

Given that,

The mass of the 10 droplets of freshwater is 499.0 milligrams.

The mass of one droplet of freshwater is 499.0/10 = 49.9.

Therefore the mass of one droplet is 49.9 milligrams.

**Build Understanding**

Question 1.

DeShawn measures the length of a phytoplankton under a microscope as 0.1 mm. Use the place-value chart to answer the questions.

A. Which part of the chart represents the length of the phytoplankton? How do you know?

Answer:

B. Which part of the chart represents the length of an organism that measures 10 times as much as the length of the phytoplankton? How do you know?

Answer:

C. Which part of the chart represents the length of an organism that measures ~ of the length of the phytoplankton? How do you know?

Answer:

D. How could you represent thousandths in the chart?

Answer:

Connect to Vocabulary

A thousandth is one of one thousand equal parts.

Example:

0.008 = eight thousandths

Question 2.

The length of a sea creature, the anemone, measures 0.04 inch early in its development. It is about 10 times as thick as a sheet of paper and \(\frac{1}{10}\) of the width of a vitamin.

A. Use the place-value chart to represent each measure.

B. What patterns in the chart can you describe?

C. What are the measures of the three items?

Answer:

The pattern in the chart shows that the anemone is 0.04 inch, the thickness of paper is 0.4 inches and the width of a vitamin is 0.004 inch.

So, the measure of the three items is 0.04, 0.4, 0.004 inch.

**Turn and Talk** How do the place-value positions with decimals compare to the place-value positions with whole numbers?

**Check Understanding**

Question 1.

Ten pennies weigh about 0.9 ounce. About how much does one penny weigh?

Answer:

Given that,

10 pennies weigh = 0.9 ounce.

1 penny weigh = 0.9/10 = 0.009.

Therefore 1 penny weigh = 0.009 ounce.

Question 2.

One dime weighs about 0.005 pound. About how much do 10 dimes weigh?

Answer:

Given that,

1 dime weighs = 0.005 pound.

10 dimes weigh = 0.005 x 10 = 0.05 pound.

Therefore 10 dimes weigh is 0.05 pounds.

**On Your Own**

Question 3.

**Use Tools** Complete the table to write numbers that are 10 times as much as, and \(\frac{1}{10}\) of, 0.5.

Answer:

Given that,

The number is 0.5

10 times of 0.5 is 0.05

**Write the number that is 10 times as much as the number.**

Question 4.

0.002

Answer:

Given that the number is 0.002.

10 times of 0.002 is 0.002 x 1/10 is 0.0002.

Therefore 10 times the 0.002 is 0.0002.

Question 5.

8.739

Answer:

Given that the number is 8.739.

10 times of 8.739 is 8.739 x 1/10 is 0.8739.

Therefore 10 times the 8.739 is 0.8739.

Question 6.

35.4

Answer:

Given that the number is 35.4.

10 times of 35.4 is 35.4 x 1/10 is 3.54.

Therefore 10 times the 35.4 is 3.54.

**Write the number that is \(\frac{1}{10}\) of the number.**

Question 7.

0.25

Answer:

Given that,

The number is 0.25.

Therefore 0.25 x \(\frac {1}{10} \) is 0.025.

Question 8.

5,019.72

Answer:

Given that,

The number is 5,019.72

Therefore 5019.72 x \(\frac {1}{10} \) is 501.972.

Question 9.

3.6

Answer:

Given that,

The number is 3.6

Therefore 3.6 x \(\frac {1}{10} \) is 0.36.

Question 10.

**Reason** Five-hundredths multiplied by what number is five thousandths? Explain.

Answer:

500 x 10 = 5000.

500 multiplied by 10 is 5000.

Therefore five-hundredths multiplied by ten is five thousandths.

Question 11.

**Use Structure** In the number 9.689, how does the value of the digit 9 to the left of the decimal point compare to the value of the digit 9 to the right of the decimal point?

Answer:

Given that,

The number is 9.689

One 9 is the left side of the decimal and the other 9 is the right of the decimal.

The first digit after the decimal represents the tenth place. So, the 9 on the left side is in the thousands place so it can be written as 1/1000.

The first digit before the decimal is one’s place. so it can be written as 9.

**I’m in a Learning Mindset!**

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